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169 733 (0,254s)

Result

Weighted iterated Hardy-type inequalities

of the weighted Hardy-type inequalities on the cones of monotone functions are given to be bounded in weighted Lebesgue spaces restricted to the cones of monotone functions, which allow ...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Iterated Hardy-type inequalities involving suprema

In this paper, the boundedness of the composition of the supremal operators with the Hardy and Copson operators between weighted Lebesgue spaces are characterized. New characterizations of the weighted Hardy-type i...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Reduction theorems for operators on the cones of monotone functions

For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in the LpLqLpLq setting for 0

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Some new iterated Hardy-type inequalities: the case ? = 1

In this paper we characterize the validity of the Hardy-type iterated inequality. It is pointed out that this characterization can be used to obtain new characterizations for the boundedness between weighted Lebesgue spaces for Hardy

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions

Let ρ be a monotone quasinorm de_ned on M^+, the set of all non-negative measurable functions on [0,1): Let T be a monotone quasilinear operator on M^+. We show that the following inequality restricted on the c...

Pure mathematics

  • 2020
  • Jimp
  • Link
Result

Boundedness of the Riesz Potential in Local Morrey-Type Spaces

The problem of boundedness of the Riesz potential in local Morreytype spaces is reduced to the problem of boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing functions...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

Reduction theorems for weighted integral inequalities on the cone of monotone functions

of integral inequalities with positive operators in weighted Lebesgue spaces on the real axis on the cone of monotone functions to some of the inequalities on the cone of non-negative functions, ...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Weighted Inequalities of Hardy Type

rather new areas such as higher order and fractional order Hardy-type inequalities and integral inequalities on the cone of monotone functions, together with some state of the theory of weighted integral inequalit...

Pure mathematics

  • 2017
  • O
Result

Reduction theorems for weighted integral inequalities on the cone of monotone functions

involving positive operators in weighted Lebesgue spaces on the real semi-axis and valid on the cone of monotone functions, to certain more easily manageable inequalities validon the cone of non-negative ...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Operators on cones of monotone functions

The necessary and sufficient conditions are found on the weighted functions for boundedness of quasi-linear and integral operators on the cones of monotone functions defined on the semiaxis....

BA - Obecná matematika

  • 2012
  • Jx
  • Link
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